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Integral of cos(sqrt(x^(2)+y^(2))) dx

Limits of integration:

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The graph:

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Piecewise:

The solution

You have entered [src]
       0                         
       /                         
      |                          
      |         /   _________\   
      |         |  /  2    2 |   
      |      cos\\/  x  + y  / dx
      |                          
     /                           
    ________                     
   /      2                      
-\/  9 - y                       
$$\int\limits_{- \sqrt{9 - y^{2}}}^{0} \cos{\left(\sqrt{x^{2} + y^{2}} \right)}\, dx$$
Integral(cos(sqrt(x^2 + y^2)), (x, -sqrt(9 - y^2), 0))
The answer [src]
       0                         
       /                         
      |                          
      |         /   _________\   
      |         |  /  2    2 |   
      |      cos\\/  x  + y  / dx
      |                          
     /                           
    ________                     
   /      2                      
-\/  9 - y                       
$$\int\limits_{- \sqrt{9 - y^{2}}}^{0} \cos{\left(\sqrt{x^{2} + y^{2}} \right)}\, dx$$
=
=
       0                         
       /                         
      |                          
      |         /   _________\   
      |         |  /  2    2 |   
      |      cos\\/  x  + y  / dx
      |                          
     /                           
    ________                     
   /      2                      
-\/  9 - y                       
$$\int\limits_{- \sqrt{9 - y^{2}}}^{0} \cos{\left(\sqrt{x^{2} + y^{2}} \right)}\, dx$$
Integral(cos(sqrt(x^2 + y^2)), (x, -sqrt(9 - y^2), 0))

    Use the examples entering the upper and lower limits of integration.